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Finding the Fourth Proportional to 123,114.98, 184,632.48 and 47,209.52

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Solution

The fourth proportional to 123,114.98, 184,632.48 and 47,209.52 is: 70,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,114.98 : 184,632.48 = 47,209.52 : x
  2. Step 2: Convert to fraction form
    123,114.98/184,632.48 = 47,209.52/x
  3. Step 3: Cross multiply
    123,114.98x = 184,632.48 × 47,209.52
  4. Step 4: Simplify right side
    123,114.98x = 8,716,410,757.21
  5. Step 5: Solve for x
    x = 8,716,410,757.21/123,114.98
  6. Step 6: Final answer
    x = 70,798.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.